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Finding the Fourth Proportional to 78,803.24, 108,748.24 and 42,993

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Solution

The fourth proportional to 78,803.24, 108,748.24 and 42,993 is: 59,330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,803.24 : 108,748.24 = 42,993 : x
  2. Step 2: Convert to fraction form
    78,803.24/108,748.24 = 42,993/x
  3. Step 3: Cross multiply
    78,803.24x = 108,748.24 × 42,993
  4. Step 4: Simplify right side
    78,803.24x = 4,675,413,082.32
  5. Step 5: Solve for x
    x = 4,675,413,082.32/78,803.24
  6. Step 6: Final answer
    x = 59,330.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.